We propose a novel 1×5 optical splitter (OS) for TE modes based on self-collimation effect in an air-hole silicon photonic crystal. The OS consists of two cascaded resonators which is formed with eight beam splitters. The theoretical transmission spectra of the OS is derived with multiple-beam interference theory. From our analysis of transmission spectra, it is found that the transmission spectra at five drop ports will reach the maximum values while the transmission spectra at two through ports reach zero for resonant frequencies. By scanning the radius of a beam splitter, the relationship between the radius and the reflectivity is obtained. Therefore, by changing the radii of the air-hole in eight beam splitters, we can manipulate the output light-intensity ratio at five drop ports to meet requirement. Theoretically, when reflectivity of beam splitters R1=2/11, R2=8/11, R3=5/8, R4=2/5, R5=7/12, R6 =6/7, R7=1/2, R8 =2/3, the light intensity ratio at five drop ports is 1:1:1:1:1. When R1=2/7, R2=6/7, R3=1/2, R4=2/3, R5=1/7, R6=6/7, R7=2/3, R8 =1/4, the light intensity ratio at five drop ports is 2:2:1:2:3. By means of finite-difference time-domain (FDTD) simulations, the numerical transmission spectra of OS can be figured out. The simulation results are consistent with the theoretical results. Considering micro processing technology of silicon materials is already available, this OS can be used in the photonic integrated circuits because of its small size, whole-silicon material and low insertion loss.
A tunable dual-band infrared polarization filter has been proposed and investigated in this paper. Based on the perfect absorption characteristic of the metal-dielectric-metal sandwich structure, the reflection spectrum shows filter performance. This filter consists of three layers. The top layer is a compound metal nano-structure array composing of an asymmetrical cross resonator and a rectangle strip. The middle and bottom layer are dielectric spacer and metal film, respectively. The calculated results show that the filter property is closely related to the polarization of incident light. When the light polarization parallels to the long direction of the rectangle strip, two resonant wavelengths (1310nm and 2000nm) are filtered, and in contrast only one resonant wavelength (1516nm) is filtered when light polarization vertical to it. Moreover, we found that the resonant wavelength is strongly depended on the length of the rectangle strip which caused the resonant effect. Therefore, the filter wavelength can be tuned freely for different light polarization by adjusting the length of the corresponding rectangle strip. We can change one or two filter wavelengths at a time or change the three filter wavelengths at the same time. In addition, the calculated results show all the intensities at the filter wavelengths are closed to zero, which implies the filter can exhibit good filtering performance.
In this paper, the 1×5 optical splitters (OSs) based on 2D rod-type silicon photonic crystal embed cascaded
self-collimation (SC) ring resonators (CSCRR) was proposed. The 1×5 OSs consist of eight beam splitters, which are
formed by varying the radii of the rod. With self-collimation effect, we can manipulate the light’s propagation in the OSs.
Here we consider TM modes. Utilizing multiple-beam interference theory, the theoretical transmission spectra at
different outputs were analysed. These transmission spectra can help us to set the radii of eight slitters properly, for we
can control the light coming out from five ports with the light-intensity ratio we need. Meanwhile these outputs’
transmission spectra were investigated by the finite-difference time-domain (FDTD) method. The simulative results have
an agreement with the theoretical prediction. The 1×5 OSs will have practical applications in photonic integrated circuits.